Is it valid for a woman to pray behind a man in the mosque, where she can hear his voice and she is in a designated area for women while he is in a designated area for men? And is it obligatory for the woman to call the Adhan if she intends to pray behind the man, or for the man to do so?

The rulings regarding a man's prayer with a woman who is not one of his mahārim are summarized as follows:

1. Ruling on prayer with or without khalwah (seclusion): It is forbidden if there is khalwah between them, and disliked if there is no khalwah. However, if she is one of his mahārim, there is no dislike. 2. Woman's position in prayer: The woman stands behind the man in the row, even if she is alone. 3. Following the Imam: It is valid for a woman to follow the Imam even if she does not see him or the ma'mūmīn (congregants), as long as she can hear his voice and is able to follow him. 4. Calling the iqāmah for prayer: The man is the one who calls the iqāmah for prayer. It is not permissible for a woman to call the adhān or iqāmah for a man, even if he is one of her mahārim.